1
What is 3/4 expressed as a decimal?
Medium
Explanation3 ÷ 4 = 0.75.
2
Simplify 72/16 to its lowest terms.
Medium
Explanation72 and 16 share a common factor of 8; dividing both by it gives 9/2.
3
Solve for x: 19/6 = 266/x
Medium
ExplanationCross-multiplying: 19 × x = 6 × 266, so x = 1596/19 = 84.
4
What is the ratio of 27 to 324, expressed in lowest terms?
Medium
Explanation27:324 reduces by dividing both terms by their GCD (27), giving 1:12.
5
What is 17/20 expressed as a decimal?
Medium
Explanation17 ÷ 20 = 0.85.
ExplanationMultiply numerators and denominators: (2×1)/(3×10) = 1/15.
7
Which is greater: 3/13 or 7/9?
Medium
Explanation3/13 = 0.2308 and 7/9 = 0.7778, so 7/9 is greater.
8
Simplify 28/32 to its lowest terms.
Medium
Explanation28 and 32 share a common factor of 4; dividing both by it gives 7/8.
ExplanationUsing a common denominator, 12/7 + 1 = 19/7.
10
Round 475.3101 to the nearest tenth.
Medium
ExplanationRounding 475.3101 to the nearest tenth gives 475.3.
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Explanation1/5 of 290 = (1 × 290) / 5 = 58.
Explanation13.85 + 99.75 = 113.6.
13
Which is greater: 7/6 or 3/2?
Medium
Explanation7/6 = 1.1667 and 3/2 = 1.5000, so 3/2 is greater.
14
Simplify 16/40 to its lowest terms.
Medium
Explanation16 and 40 share a common factor of 8; dividing both by it gives 2/5.
15
Simplify the ratio 35:119 to its lowest terms.
Medium
Explanation35 and 119 share a common factor of 7; dividing both by it gives 5:17.
Explanation82.25 + 104.74 = 186.99.
17
If A:B = 5:11 and B:C = 12:12, what is A:B:C?
Medium
ExplanationScale both ratios so B matches: A:B = 60:132 and B:C = 132:132, giving A:B:C = 60:132:132.
18
Which is greater: 42.1 or 10.3?
Medium
ExplanationComparing digit by digit, 42.1 is greater than 10.3.
ExplanationUsing a common denominator, 8/15 − 1/14 = 97/210.
20
A sum of Rs. 1242 is divided between two people in the ratio 14:13. What is the larger share?
Medium
ExplanationTotal parts = 14 + 13 = 27. Each part = Rs. 1242 / 27 = Rs. 46. So the shares are Rs. 644 and Rs. 598; the larger share is Rs. 644.
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Explanation108.9 ÷ 12.1 = 9.0.
22
If 19 workers can complete a task in 40 days, how many days would 40 workers take to complete the same task (assuming the same work rate per worker)?
Medium
ExplanationTotal work = 19 × 40 = 760 worker-days. With 40 workers, days = 760/40 = 19.
Explanation8.5 × 17.7 = 150.45.
ExplanationDividing by a fraction means multiplying by its reciprocal: 1/5 × 8/5 = 8/25.
Explanation3.0 × 4.7 = 14.1.
ExplanationUsing a common denominator, 1/2 + 5/4 = 7/4.
27
Round 371.5288 to the nearest hundredth.
Medium
ExplanationRounding 371.5288 to the nearest hundredth gives 371.53.
28
Simplify the ratio 30:24 to its lowest terms.
Medium
Explanation30 and 24 share a common factor of 6; dividing both by it gives 5:4.
29
What is the ratio of 198 to 324, expressed in lowest terms?
Medium
Explanation198:324 reduces by dividing both terms by their GCD (18), giving 11:18.
30
Simplify the ratio 72:9 to its lowest terms.
Medium
Explanation72 and 9 share a common factor of 9; dividing both by it gives 8:1.
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31
Simplify the ratio 108:240 to its lowest terms.
Medium
Explanation108 and 240 share a common factor of 12; dividing both by it gives 9:20.
32
Convert 47/10 to a mixed number.
Medium
Explanation47 ÷ 10 = 4 remainder 7, so 47/10 = 4 7/10.
33
What is the ratio of 2 to 14, expressed in lowest terms?
Medium
Explanation2:14 reduces by dividing both terms by their GCD (2), giving 1:7.
34
Which is greater: 8/11 or 2?
Medium
Explanation8/11 = 0.7273 and 2 = 2.0000, so 2 is greater.
35
If 2 pens cost Rs. 40, how much would 23 pens cost?
Medium
ExplanationCost per pen = Rs. 40/2 = Rs. 20. So 23 pens cost 23 × Rs. 20 = Rs. 460.
36
Round 72.675 to the nearest tenth.
Medium
ExplanationRounding 72.675 to the nearest tenth gives 72.7.
Explanation291.65 − 121.09 = 170.56.
Explanation2.5 × 19.5 = 48.75.
39
Which is greater: 11/5 or 13/12?
Medium
Explanation11/5 = 2.2000 and 13/12 = 1.0833, so 11/5 is greater.
40
The ratio of boys to girls in a class is 7:4. If there are 259 boys, how many girls are there?
Medium
ExplanationSince boys:girls = 7:4 and there are 259 boys, each 'part' = 259/7 = 37, so girls = 4 × 37 = 148.
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41
If 25 workers can complete a task in 21 days, how many days would 5 workers take to complete the same task (assuming the same work rate per worker)?
Medium
ExplanationTotal work = 25 × 21 = 525 worker-days. With 5 workers, days = 525/5 = 105.
ExplanationMultiply numerators and denominators: (1×4)/(2×5) = 2/5.
43
Simplify 156/48 to its lowest terms.
Medium
Explanation156 and 48 share a common factor of 12; dividing both by it gives 13/4.
44
A car travels 117 km in 9 hours at a constant speed. How far will it travel in 5 hours?
Medium
ExplanationSpeed = 117 km / 9 hr = 13 km/hr. In 5 hours, distance = 13 × 5 = 65 km.
45
Convert 76/5 to a mixed number.
Medium
Explanation76 ÷ 5 = 15 remainder 1, so 76/5 = 15 1/5.
Explanation18.3 × 6.8 = 124.44.
47
A car travels 144 km in 9 hours at a constant speed. How far will it travel in 5 hours?
Medium
ExplanationSpeed = 144 km / 9 hr = 16 km/hr. In 5 hours, distance = 16 × 5 = 80 km.
48
Simplify 96/180 to its lowest terms.
Medium
Explanation96 and 180 share a common factor of 12; dividing both by it gives 8/15.
49
What is the ratio of 210 to 240, expressed in lowest terms?
Medium
Explanation210:240 reduces by dividing both terms by their GCD (30), giving 7:8.
ExplanationUsing a common denominator, 4/3 + 2/5 = 26/15.
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51
If 40 workers can complete a task in 29 days, how many days would 5 workers take to complete the same task (assuming the same work rate per worker)?
Medium
ExplanationTotal work = 40 × 29 = 1160 worker-days. With 5 workers, days = 1160/5 = 232.
Explanation2/5 of 260 = (2 × 260) / 5 = 104.
Explanation5.4 × 15.6 = 84.24.
54
Round 211.3879 to the nearest hundredth.
Medium
ExplanationRounding 211.3879 to the nearest hundredth gives 211.39.
55
What is 37/50 expressed as a decimal?
Medium
Explanation37 ÷ 50 = 0.74.
56
Round 329.5493 to the nearest tenth.
Medium
ExplanationRounding 329.5493 to the nearest tenth gives 329.5.
ExplanationCross-multiplying: 6 × x = 19 × 48, so x = 912/6 = 152.
58
Round 495.6983 to the nearest tenth.
Medium
ExplanationRounding 495.6983 to the nearest tenth gives 495.7.
59
If A:B = 3:8 and B:C = 3:9, what is A:B:C?
Medium
ExplanationScale both ratios so B matches: A:B = 9:24 and B:C = 24:72, giving A:B:C = 9:24:72.
Explanation170.69 + 37.96 = 208.65.
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ExplanationUsing a common denominator, 9/2 − 5/3 = 17/6.
62
Solve for x: 10/17 = 160/x
Medium
ExplanationCross-multiplying: 10 × x = 17 × 160, so x = 2720/10 = 272.
ExplanationDividing by a fraction means multiplying by its reciprocal: 8/7 × 5/8 = 5/7.
ExplanationUsing a common denominator, 1 + 6/7 = 13/7.
ExplanationMultiply numerators and denominators: (1×10)/(4×11) = 5/22.
66
Which is greater: 44.43 or 4.7?
Medium
ExplanationComparing digit by digit, 44.43 is greater than 4.7.
ExplanationUsing a common denominator, 12/7 + 6/5 = 102/35.
Explanation224.34 − 124.56 = 99.78.
69
Which is greater: 23.22 or 49.19?
Medium
ExplanationComparing digit by digit, 49.19 is greater than 23.22.
70
If 16 workers can complete a task in 16 days, how many days would 4 workers take to complete the same task (assuming the same work rate per worker)?
Medium
ExplanationTotal work = 16 × 16 = 256 worker-days. With 4 workers, days = 256/4 = 64.
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71
If 36 workers can complete a task in 37 days, how many days would 74 workers take to complete the same task (assuming the same work rate per worker)?
Medium
ExplanationTotal work = 36 × 37 = 1332 worker-days. With 74 workers, days = 1332/74 = 18.
72
A sum of Rs. 550 is divided between two people in the ratio 13:9. What is the smaller share?
Medium
ExplanationTotal parts = 13 + 9 = 22. Each part = Rs. 550 / 22 = Rs. 25. So the shares are Rs. 325 and Rs. 225; the smaller share is Rs. 225.
73
What is the ratio of 225 to 165, expressed in lowest terms?
Medium
Explanation225:165 reduces by dividing both terms by their GCD (15), giving 15:11.
74
A sum of Rs. 70 is divided between two people in the ratio 13:1. What is the smaller share?
Medium
ExplanationTotal parts = 13 + 1 = 14. Each part = Rs. 70 / 14 = Rs. 5. So the shares are Rs. 65 and Rs. 5; the smaller share is Rs. 5.
Explanation1/6 of 306 = (1 × 306) / 6 = 51.
76
The ratio of boys to girls in a class is 13:15. If there are 481 boys, how many girls are there?
Medium
ExplanationSince boys:girls = 13:15 and there are 481 boys, each 'part' = 481/13 = 37, so girls = 15 × 37 = 555.
77
A car travels 48 km in 4 hours at a constant speed. How far will it travel in 2 hours?
Medium
ExplanationSpeed = 48 km / 4 hr = 12 km/hr. In 2 hours, distance = 12 × 2 = 24 km.
Explanation16.5 × 7.6 = 125.4.
ExplanationMultiply numerators and denominators: (1×3)/(1×1) = 3.
80
Simplify 20/30 to its lowest terms.
Medium
Explanation20 and 30 share a common factor of 10; dividing both by it gives 2/3.
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81
If 35 workers can complete a task in 10 days, how many days would 7 workers take to complete the same task (assuming the same work rate per worker)?
Medium
ExplanationTotal work = 35 × 10 = 350 worker-days. With 7 workers, days = 350/7 = 50.
ExplanationDividing by a fraction means multiplying by its reciprocal: 11/5 × 5/3 = 11/3.
83
A car travels 64 km in 8 hours at a constant speed. How far will it travel in 14 hours?
Medium
ExplanationSpeed = 64 km / 8 hr = 8 km/hr. In 14 hours, distance = 8 × 14 = 112 km.
ExplanationMultiply numerators and denominators: (1×5)/(6×2) = 5/12.
ExplanationUsing a common denominator, 8/9 + 1/10 = 89/90.
86
Which is greater: 7.76 or 25.4?
Medium
ExplanationComparing digit by digit, 25.4 is greater than 7.76.
87
Simplify the ratio 85:95 to its lowest terms.
Medium
Explanation85 and 95 share a common factor of 5; dividing both by it gives 17:19.
ExplanationUsing a common denominator, 11/9 + 11/15 = 88/45.
Explanation93.6 ÷ 19.5 = 4.8.
90
Solve for x: 13/15 = 234/x
Medium
ExplanationCross-multiplying: 13 × x = 15 × 234, so x = 3510/13 = 270.
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ExplanationUsing a common denominator, 5/3 − 1/3 = 4/3.
92
A car travels 152 km in 8 hours at a constant speed. How far will it travel in 11 hours?
Medium
ExplanationSpeed = 152 km / 8 hr = 19 km/hr. In 11 hours, distance = 19 × 11 = 209 km.
ExplanationUsing a common denominator, 2 + 4/3 = 10/3.
Explanation190.67 − 93.74 = 96.93.
95
What is the ratio of 175 to 200, expressed in lowest terms?
Medium
Explanation175:200 reduces by dividing both terms by their GCD (25), giving 7:8.
96
Which is greater: 25.653 or 22.7?
Medium
ExplanationComparing digit by digit, 25.653 is greater than 22.7.
97
What is the reciprocal of 2/9?
Medium
ExplanationThe reciprocal of 2/9 is 9/2, since (2/9) × (9/2) = 1.
ExplanationDividing by a fraction means multiplying by its reciprocal: 1 × 2/7 = 2/7.
Explanation2/3 of 126 = (2 × 126) / 3 = 84.
100
If 3 pens cost Rs. 12, how much would 9 pens cost?
Medium
ExplanationCost per pen = Rs. 12/3 = Rs. 4. So 9 pens cost 9 × Rs. 4 = Rs. 36.